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4.4-4.6 Triangle Congruence Shortcuts

Total questions: 10

Worksheet time: 15mins

Name
Class
Date
1.

Determine if the two triangles are congruent. If they are, select the triangle congruence shortcut used.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

HL

2.

Determine if the two triangles are congruent. If they are, select the triangle congruence shortcut used.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

Not enough information

3.

Determine if the two triangles are congruent. If they are, select the triangle congruence shortcut used.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

Not enough information

4.

Determine if the two triangles are congruent. If they are, select the triangle congruence shortcut used.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

HL

5.

Determine if the two triangles are congruent. If they are, select the triangle congruence shortcut used.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

Not enough information

6.

What additional information is required in order to prove the triangles are congruent by ASA?

a)

GJ\angle G\cong\angle J

b)

GI\angle G\cong\angle I

c)

FI\angle F\cong\angle I

d)

FJ\angle F\cong\angle J

7.

What additional information is required in order to prove the triangles are congruent by SSS?

a)

 GHFH\overline{GH}\cong\overline{FH}  

b)

 FWFH\overline{FW}\cong\overline{FH} 

c)

 GW\angle G\cong\angle W 

d)

 GHWF\overline{GH}\cong\overline{WF} 

8.

What additional information is required in order to prove the triangles are congruent by AAS?

a)

 VF\angle V\cong\angle F  

b)

 VTUFUT\angle VTU\cong\angle FUT 

c)

 TVUF\overline{TV}\cong\overline{UF} 

d)

 VUTF\overline{VU}\cong\overline{TF} 

9.

What additional information is required in order to prove the triangles are congruent by SAS?

a)

 JU\angle J\cong\angle U  

b)

 LW\angle L\cong\angle W 

c)

 JLWU\overline{JL}\cong\overline{WU} 

d)

 VWVL\overline{VW}\cong\overline{VL} 

10.

What additional information is required in order to prove the triangles are congruent by HL?

a)

 ZL\angle Z\cong\angle L  

b)

 LMNZMN\angle LMN\cong\angle ZMN 

c)

 MZML\overline{MZ}\cong\overline{ML} 

d)

 NZNL\overline{NZ}\cong\overline{NL}